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| Author | : J. L. Casti |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 204 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : |
In this brilliant account of mathematicians in action, Casti invites readers to scale mathematical peaks as he recreates solutions to the five greatest mathematical problems of all time. 30 halftones and line illustrations.
| Author | : Raymond Nickerson |
| Publisher | : Psychology Press |
| Total Pages | : 628 |
| Release | : 2011-02-25 |
| Genre | : Psychology |
| ISBN | : 1136945385 |
The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.
| Author | : Martha A. Tucker |
| Publisher | : Bloomsbury Publishing USA |
| Total Pages | : 362 |
| Release | : 2004-09-30 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 0313053375 |
This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.
| Author | : Fengshan Bai |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 198 |
| Release | : 2003-09-03 |
| Genre | : Computers |
| ISBN | : 3540406891 |
This book constitutes the thoroughly refereed post-proceedings of the ICM 2002 International Satellite Conference on Electronic Information and Communication in Mathematics, held in Beijing, China, in August 2002. The 18 revised and reviewed papers assess the state of the art of the production and dissemination of electronic information in mathematics. Among the topics addressed are models and standards for information and metainformation representation; data search, discovery, retrieval, and analysis; access to distributed and heterogeneous digital collections; intelligent user interfaces to digital libraries; information agents, and cooperative work on mathematical data; digital collection generation; business models; and data security and protection.
| Author | : Thomas Q. Sibley |
| Publisher | : John Wiley & Sons |
| Total Pages | : 817 |
| Release | : 2008-04-07 |
| Genre | : Mathematics |
| ISBN | : 0470085010 |
The Foundations of Mathematics provides a careful introduction to proofs in mathematics, along with basic concepts of logic, set theory and other broadly used areas of mathematics. The concepts are introduced in a pedagogically effective manner without compromising mathematical accuracy and completeness. Thus, in Part I students explore concepts before they use them in proofs. The exercises range from reading comprehension questions and many standard exercises to proving more challenging statements, formulating conjectures and critiquing a variety of false and questionable proofs. The discussion of metamathematics, including Gödel’s Theorems, and philosophy of mathematics provides an unusual and valuable addition compared to other similar texts
| Author | : Marcel Danesi |
| Publisher | : Turner Publishing Company |
| Total Pages | : 255 |
| Release | : 2011-01-06 |
| Genre | : Mathematics |
| ISBN | : 1118045815 |
A walk through history's most mind-boggling puzzles Ever since the Sphinx asked his legendary riddle of Oedipus, riddles, conundrums, and puzzles of all sizes have kept humankind perplexed and amused. The Liar Paradox and the Towers of Hanoi takes die-hard puzzle mavens on a tour of the world's most enduringly intriguing braintwisters, from K?nigsberg's Bridges and the Hanoi Towers to Fibonacci's Rabbits, the Four Color Problem, and the Magic Square. Each chapter introduces the basic puzzle, discusses the mathematics behind it, and includes exercises and answers plus additional puzzles similar to the one under discussion. Here is a veritable kaleidoscope of puzzling labyrinths, maps, bridges, and optical illusions that will keep aficionados entertained for hours. Marcel Danesi (Etobicoke, ON, Canada) is the author of Increase Your Puzzle IQ
| Author | : Solomon Marcus |
| Publisher | : Polimetrica s.a.s. |
| Total Pages | : 544 |
| Release | : 2007 |
| Genre | : Philosophy |
| ISBN | : 8876990747 |
| Author | : Alexander Soifer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 418 |
| Release | : 2011-04-13 |
| Genre | : Mathematics |
| ISBN | : 0387754717 |
This updated printing of the first edition of Colorado Mathematical Olympiad: the First Twenty Years and Further Explorations gives the interesting history of the competition as well as an outline of all the problems and solutions that have been created for the contest over the years. Many of the essay problems were inspired by Russian mathematical folklore and written to suit the young audience; for example, the 1989 Sugar problem was written in a pleasant Lewis Carroll-like story. Some other entertaining problems involve olde Victorian map colourings, King Authur and the knights of the round table, rooks in space, Santa Claus and his elves painting planes, football for 23, and even the Colorado Springs subway system.
| Author | : D. Brian Austin |
| Publisher | : Smyth & Helwys Publishing, Inc. |
| Total Pages | : 204 |
| Release | : 2000 |
| Genre | : Philosophy |
| ISBN | : 9781573122627 |
Austin defines a vision for uniting the aims of science and Christian faith by examining the retreat from certainty that characterizes contemporary science and philosophy.
| Author | : Gregory J. Chaitin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 162 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1447101855 |
The author, G. J. Chaitin, shows that God plays dice not only in quantum mechanics but also in the foundations of mathematics. According to Chaitin there exist mathematical facts that are true for no reason. This fascinating and provocative text contains a collection of his most wide-ranging and non-technical lectures and interviews. It will be of interest to anyone concerned with the philosophy of mathematics, the similarities and differences between physics and mathematics, and mathematics as art.
